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- Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.31. Which of the following is a type I error? O A. Fail to reject the claim that the proportion of people who write with their left hand is 0.31 when the proportion is actually 0.31. B. Reject the claim that the proportion of people who write with their left hand is 0.31 when the proportion is actually 0.31. O C. Reject the claim that the proportion of people who write with their left hand is 0.31 when the proportion is actually different from 0.31. D. Fail to reject the claim that the proportion of people who write with their left hand is 0.31 when the proportion is actually different from 0.31.Many parents have turned to St. John's wort, an herbal remedy, to treat their children with attention deficit hyperactivity disorder (ADHD). The Journal of the American Medical Association (June 11, 2008) published an article that explored the herb's effectiveness. Children with ADHD were randomly assigned to take either St. John's wort capsules or placebos. The contingency table below broadly reflects the results found in the study. (You may find it useful to reference the appropriate table: chi-square table or F table) Effect on ADHD Treatment No Change in ADHD Improvement in ADHD St. John's wort 12 15 Placebo 14 13 At the 5% significance level, do the data indicate that St. John's wort affects children with ADHD? a. Choose the null and alternate hypotheses. O Ho: Effect on ADHD is independent of the treatment; HẠ: Effect on ADHD is dependent of the treatment O Ho: Effect on ADHD is dependent of the treatment; HA: Effect on ADHD is independent of the treatment b. Calculate the test…All Test the claim about the population mean, p, at the given level of significance using the given sample statistics. age Claim: u = 50; a=0.02; o= 3.06. Sample statistics: x= 49.8, n 75 Identify the null and alternative hypotheses. Choose the correct answer below. gat O A. H, p 50 O C. H,: H> 50 Ha: u= 50 O D. Ho: H#50 Ha p= 50 OF Ho H=50 Ha:p< 50 E. H, H= 50 H3 u#50 Calculate the standardized test statistic. The standardized test statistic is -0.57. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is. O B. The critical values are +
- Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = What is the correct result based on the data?Using image attached A. Fill in blanks B. What are the null and alternative hypothesis? C. Find the test statistic, z0 D. Find the P-ValueFind the value of the standard score, z, and determine whether to reject the null hypothesis at a 0.01 significance level. Is the alternative hypothesis supported? Ho p= 18.5 meters, H p18.5 meters, n= 144, x = 19.1 meters, o = 1.3 meters %3D The value of the standard score is (Round to two decimal places as needed.)
- A college administrator claims that the proportion of students that are nursing majors is greater than 40%. To test this claim, a group of 400 students are randomly selected and its determined that 190 are nursing majors. The following is the setup for this hypothesis test: Ho : p=0.40 Ha: p > 0.40 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. Provide your answer below: TestStatisticThe accuracy of a census report on a city in southern California was questioned by some government officials. A random sample of 1215 people living in the city was used to check the report, and the results are shown below. Census Sample Result Ethnic Origin Percent Black 10% 123 Asian 3% 46 38% Anglo Latino/Latina 471 41% 505 Native American 6% 61 All others 2% 9. A USE SALT Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree. (a) What is the level of significance? State the null and alternate hypotheses. O H: The distributions are the same. H: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places.…Determine whether the results below appear to have statistical significance, and also determine whether the results have practical significance. In a study of a weight loss program, 6 subjects lost an average of 49 lbs. It is found that there is about a 23% chance of getting such results with a diet that has no effect. (... Does the weight loss program have statistical significance? OA. Yes, the program is statistically significant because the results are unlikely to occur by chance. OB. Yes, the program is statistically significant because the results are likely to occur by chance. OC. No, the program is not statistically significant because the results are likely to occur by chance. O D. No, the program is not statistically significant because the results are unlikely to occur by chance. Does the weight loss program have practical significance? O A. No, the program is not practically significant because the amount of weight lost is trivial. O B. Yes, the program is practically…
- In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the α=0.05 significance level, test the claim that the responses occur with the same frequency. H0 : The responses to the questions occur with the same frequency. H1 : The responses to the questions do not occur with the same frequency. Response ObservedFrequency ExpectedFrequency (O−E)2E A 18 B 7 C 6 D 20 E 18 What is the χ2 test-statistic for this data? Round to four decimal places.χ2= _____________ What is the p -value? Round to four decimal places. p -value=__________A researcher, working for a large pharmaceutical company, is interested in testing the claim that less than 24% of people who take a new sinus medication receive symptom relief in less than 15 minutes. To test this claim, the researcher collects the following data on a sample of 500 adults and 110 of them receive symptom relief in less than 15 minutes after taking the medication. The following is the data from this study: Sample size =500 adults The alternative hypothesis is Ha:p<0.24 The test statistic is calculated as z0=−1.05. Find and interpret the p− value for this hypothesis test. Use the curve below to help visualize your answer. Select the appropriate test by dragging the blue point to a right-, left- or two-tailed diagram, then set the test statistic on the x-axis to find the p-value. Based on the p-value, choose the correct interpretation. Move the blue dot to choose the appropriate test